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Finding the Fourth Proportional to 1,065.83, 1,599.66 and 417.02

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Solution

The fourth proportional to 1,065.83, 1,599.66 and 417.02 is: 625.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.83 : 1,599.66 = 417.02 : x
  2. Step 2: Convert to fraction form
    1,065.83/1,599.66 = 417.02/x
  3. Step 3: Cross multiply
    1,065.83x = 1,599.66 × 417.02
  4. Step 4: Simplify right side
    1,065.83x = 667,094.21
  5. Step 5: Solve for x
    x = 667,094.21/1,065.83
  6. Step 6: Final answer
    x = 625.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.